Resurgence in a Hamilton-Jacobi equation

Carme Olivé[1]; David Sauzin[2]; Tere M. Seara[3]

  • [1] Universitat Rovira i Virgili, Dep. d'Enginyeria Informàtica i Matemàtiques, Avda Països Catala s 26, 43007 Tarragona (Espagne)
  • [2] Institut de Mécanique Céleste - CNRS, Astronomie et Systèmes Dynamiques, 77 avenue Denfert-Rochereau, 75014 Paris (France)
  • [3] Universitat Politècnica de Catalunya, Dep. de Matemàtica Aplicada I, Diagonal 647, 08028 Barcelona (Espagne)

Annales de l’institut Fourier (2003)

  • Volume: 53, Issue: 4, page 1185-1235
  • ISSN: 0373-0956

Abstract

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We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution and the other components of the formal integral.

How to cite

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Olivé, Carme, Sauzin, David, and Seara, Tere M.. "Resurgence in a Hamilton-Jacobi equation." Annales de l’institut Fourier 53.4 (2003): 1185-1235. <http://eudml.org/doc/116065>.

@article{Olivé2003,
abstract = {We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution and the other components of the formal integral.},
affiliation = {Universitat Rovira i Virgili, Dep. d'Enginyeria Informàtica i Matemàtiques, Avda Països Catala s 26, 43007 Tarragona (Espagne); Institut de Mécanique Céleste - CNRS, Astronomie et Systèmes Dynamiques, 77 avenue Denfert-Rochereau, 75014 Paris (France); Universitat Politècnica de Catalunya, Dep. de Matemàtica Aplicada I, Diagonal 647, 08028 Barcelona (Espagne)},
author = {Olivé, Carme, Sauzin, David, Seara, Tere M.},
journal = {Annales de l’institut Fourier},
keywords = {Hamilton-Jacobi equation; splitting of separatrices; Borel summation; resurgence},
language = {eng},
number = {4},
pages = {1185-1235},
publisher = {Association des Annales de l'Institut Fourier},
title = {Resurgence in a Hamilton-Jacobi equation},
url = {http://eudml.org/doc/116065},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Olivé, Carme
AU - Sauzin, David
AU - Seara, Tere M.
TI - Resurgence in a Hamilton-Jacobi equation
JO - Annales de l’institut Fourier
PY - 2003
PB - Association des Annales de l'Institut Fourier
VL - 53
IS - 4
SP - 1185
EP - 1235
AB - We study the resurgent structure associated with a Hamilton-Jacobi equation. This equation is obtained as the inner equation when studying the separatrix splitting problem for a perturbed pendulum via complex matching. We derive the Bridge equation, which encompasses infinitely many resurgent relations satisfied by the formal solution and the other components of the formal integral.
LA - eng
KW - Hamilton-Jacobi equation; splitting of separatrices; Borel summation; resurgence
UR - http://eudml.org/doc/116065
ER -

References

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